Search a number
-
+
807326079395712 = 2732779419805811
BaseRepresentation
bin1011011110010000100100000…
…0001011100010011110000000
310220212111121201120101210202220
42313210021000023202132000
51321304212302311130322
611541012251504411040
7332023245566151312
oct26744110013423600
93825447646353686
10807326079395712
1121426a081964928
1276669252616a80
13288626a4274706
1410350b0daab7b2
15635060d95355c
hex2de42402e2780

807326079395712 has 128 divisors (see below), whose sum is σ = 2152432797782400. Its totient is φ = 268108381194240.

The previous prime is 807326079395609. The next prime is 807326079395713. The reversal of 807326079395712 is 217593970623708.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807326079395713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001477287 + ... + 1002283097.

It is an arithmetic number, because the mean of its divisors is an integer number (16815881232675).

Almost surely, 2807326079395712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807326079395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076216398891200).

807326079395712 is an abundant number, since it is smaller than the sum of its proper divisors (1345106718386688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

807326079395712 is a wasteful number, since it uses less digits than its factorization.

807326079395712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815524 (or 815512 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 69.

The spelling of 807326079395712 in words is "eight hundred seven trillion, three hundred twenty-six billion, seventy-nine million, three hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1662 2216 3324 4432 6648 8864 9419 13296 17728 18838 26592 28257 35456 37676 53184 56514 75352 106368 113028 150704 226056 301408 452112 602816 805811 904224 1205632 1611622 1808448 2417433 2609063 3223244 3616896 4834866 5218126 6446488 7827189 9669732 10436252 12892976 15654378 19339464 20872504 25785952 31308756 38678928 41745008 51571904 62617512 77357856 83490016 103143808 125235024 154715712 166980032 223209647 250470048 309431424 333960064 446419294 500940096 669628941 892838588 1001880192 1339257882 1785677176 2678515764 3571354352 5357031528 7142708704 7589933809 10714063056 14285417408 15179867618 21428126112 22769801427 28570834816 30359735236 42856252224 45539602854 60719470472 85712504448 91079205708 121438940944 182158411416 242877881888 364316822832 485755763776 728633645664 971511527552 1457267291328 2102411665093 2914534582656 4204823330186 6307234995279 8409646660372 12614469990558 16819293320744 25228939981116 33638586641488 50457879962232 67277173282976 100915759924464 134554346565952 201831519848928 269108693131904 403663039697856 807326079395712